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On Subclasses of Recognizable ωω−Partial Array Languages

Author

Listed:
  • G. Muhiuddin
  • K. Janaki
  • D. Al-Kadi
  • R. Arulprakasam
  • V. Govindan

Abstract

In this paper, the concepts of infinite partial array languages (ωω−partial array languages) and the classes of ωω−partial array languages, namely, local ωω−partial array languages, Buchi local ωω−partial array languages, and Muller local ωω−partial array languages are defined, and their related properties are studied. Furthermore, we introduce nondeterministic finite online tessellation h‐automata on ωω−partial array languages. In addition, we prove that the class of all adherences of finite local partial array languages is equal to the class of all local ωω−partial array languages and also prove that every ωω−regular partial array language is a projection of Buchi local ωω−partial array language.

Suggested Citation

  • G. Muhiuddin & K. Janaki & D. Al-Kadi & R. Arulprakasam & V. Govindan, 2022. "On Subclasses of Recognizable ωω−Partial Array Languages," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
  • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:1493126
    DOI: 10.1155/2022/1493126
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    References listed on IDEAS

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    1. Erik Winfree & Furong Liu & Lisa A. Wenzler & Nadrian C. Seeman, 1998. "Design and self-assembly of two-dimensional DNA crystals," Nature, Nature, vol. 394(6693), pages 539-544, August.
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